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Finding the Fourth Proportional to 4,538.97, 6,262.68 and 2,649.48

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Solution

The fourth proportional to 4,538.97, 6,262.68 and 2,649.48 is: 3,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.97 : 6,262.68 = 2,649.48 : x
  2. Step 2: Convert to fraction form
    4,538.97/6,262.68 = 2,649.48/x
  3. Step 3: Cross multiply
    4,538.97x = 6,262.68 × 2,649.48
  4. Step 4: Simplify right side
    4,538.97x = 16,592,845.41
  5. Step 5: Solve for x
    x = 16,592,845.41/4,538.97
  6. Step 6: Final answer
    x = 3,655.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.